We are asked to explain what is meant by a "well behaved function" which represents a physical phenomenon. I know that it has to be continuous, and differentiable at all points (therefore we need the gradient to be continuous), but I'm not sure if derivatives of all orders need to be continuous, although this seems intuitively correct.(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Well behaved function

**Physics Forums | Science Articles, Homework Help, Discussion**